Complex dynamics in one-dimensional CNNs

Phase-Wave Propagation Phenomena in One-Dimensional Two-Layer CNNs

Dynamic property of networks of oscillatory and chaotic elements is one of the very lively studied topics. Many papers of international conferences and journals are devoted uniquely to studies of spatially extended systems, active media, and coupled lattices showing important areas where studies of dynamic phenomena in coupled oscillators find potential applications. Since Cellular Neural Netwo...

Quantum and classical dynamics in complex one-dimensional antiferromagnets

Of great recent interest in condensed matter physics are phenomena of coexistence of quantum and classical properties in the same material. Such duality occurs in certain mixed-spin antiferromagnets composed of quantum spin chains interacting through “auxiliary” magnetic ions. In this category are linear-chain rare earth nickelates that exhibit a seemingly paradoxical co-existence of longrange ...

Complex dynamics and scale invariance of one-dimensional memristive networks.

Memristive systems, namely, resistive systems with memory, are currently attracting considerable attention. Here we show that even the simplest one-dimensional network formed by the most common memristive elements with voltage threshold bears nontrivial physical properties. In particular, by taking into account the single element variability we find (1) dynamical acceleration and slowing down o...

One-dimensional measles dynamics

The SEIR model for the transmission dynamics of measles is extended by the addition of second-order space derivatives to enable the geographic spread of the disease in a population which has not been vaccinated against it. The resulting system of three reaction-diffusion equations is solved by a convergent finite-difference technique which is second-order accurate in space and time. A parallel ...

One{dimensional Topological Dynamics